回複：Need help for two qns on harmonic functions

來源: 雪山飛魚 於 2009-09-30 10:42:41 [] [博客] [舊帖] [給我悄悄話] 閱讀數 : (360 bytes)

1. Use gradient estimates for harmonic function,
|grad^k u(x)| You can immediately show that grad^p u(x) is a bounded harmonic function, therefore a constant.

2. just by gradient estimates as well, assume R=1, then do the problem. Reference: Elliptic Partial Differential Equations by Qing Han&Fanghua Lin

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